Can someone please help me??

Question

asked Nov 9, 2021 172k views

1 Answer

Maplemaple · Answer 1 · 2021-11-15T09:24:11+0000

Answer : The value of x is 4.1 cm.

Step-by-step explanation :

As we know that the perpendicular dropped from the center divides the chord into two equal parts.

That means,

AB = CB =
(15.6cm)/(2)=7.8cm

Now we have o calculate the value of x by using Pythagoras theorem.

Using Pythagoras theorem in ΔOBA :

(Hypotenuse)^2=(Perpendicular)^2+(Base)^2

(OA)^2=(OB)^2+(BA)^2

Now put all the values in the above expression, we get the value of side OB.

(8.8)^2=(x)^2+(7.8)^2

x=√((8.8)^2-(7.8)^2)

x=√(77.44-60.84)

x=√(16.6)

$x=4.074\approx 4.1$

Therefore, the value of x is 4.1 cm.